(i) Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from these example?f(x)=[x] for x∈[5,9](ii) Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from this example?f(x)=[x] for x∈[−2,2](iii) Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from this example?f(x)=x2−1 for x∈[1,2]

(i) Examine if Rolle's theorem is applicable to the given function. Ca

1.	(i) Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from these example?f(x)=[x] for x∈[5,9](ii) Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from this example?f(x)=[x] for x∈[−2,2](iii) Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from this example?f(x)=x2−1 for x∈[1,2]
Answer» $(i)$ Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from these example? $f (x) = [x] for x \in [5, 9]$ $(i i)$ Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from this example? $f (x) = [x] for x \in [- 2, 2]$ $(i i i)$ Examine if Rolle's theorem is applicable to the given function. Can you say something about the converse of Rolle's theorem from this example? $f (x) = x^{2} - 1 for x \in [1, 2]$